Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23600u |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-3866624000000 = -1 · 222 · 56 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 -2 6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10008,-393488] |
[a1,a2,a3,a4,a6] |
Generators |
[17180:112384:125] |
Generators of the group modulo torsion |
j |
-1732323601/60416 |
j-invariant |
L |
5.1196530857903 |
L(r)(E,1)/r! |
Ω |
0.23817148310998 |
Real period |
R |
5.3739148563665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2950a1 94400bs1 944h1 |
Quadratic twists by: -4 8 5 |